Turn off activation¶
Podle predchozich vysledku predevsim v tabulce ... bylo videt, ze pocet common features napric skupinou je predevsim pro male topk velmi nizka v jednotkach. Je tedy mozne, ze neziskavame vsechny spolecne rysy, coz ma za nasledek nizsi performance.
Nase idea jak by slo toto teoreticky vyresit je, pro inferenci vypnout aktivacni funkci topk tak abychom ziskali vice features pro jednotlive uzivatele. Idea je takova, ze aktivace topk vybira opravdu ty nejdulezitejsi rysy ktere specifikuje daneho uzivatele. Muze se ale stat, ze ackoliv jsou nektere rysy velmi podobne, nejsou definovany tou samou featurou a tedy je nikdy nemuzeme ziskat. Pokud tedy aktivaci vypneme, mohli bychom ziskat vice rysu, a tedy spojit i rysy, ktere uzivatele sdileji.
Nechte me jen pripomenout, ze i kdyz vypneme aktivaci topk, stale je zapnuta aktivace ReLu. Neznamena to tedy, ze by vsechny (nebo temer vsechny) rysy byly aktivovany, ale pouze ty, ktere maji pozitivni hodnotu.
Pojdme se tedy nejdrive kouknout kolik nenulovych feature ziskame pokud aktivaci vypnemepro jednotlive uzivatele. Jako priklad jsme vzali Sparse autoencoder s dimenzi 2048 a topk 64. Vzali jsme nahodne 5000 uzivatelu a vypocetli jsme si pro ne kolik rysu je nenulovych. Vysledky jsou videt v nasledujicim grafu.
Je videt, ze prumerne je aktivovano 242 neuronu, minimalne 129 a maximalne 425. Graf pripomona gausovske rozdeleni. Pro dimenzi 2048 tedy ziskavame tedy okolo 1/10 rysu.
Nyni se podivame co to dela s poctem common features napric skupinou.
Common activated dimensions across group members¶
|
Dimensions |
TopK |
MovieLens |
LastFM1k |
|
|
|
Sim |
Random |
Div |
Sim |
Random |
Div |
| 0 |
1024 |
32 |
23.72 |
18.77 |
7.74 |
174.67 |
123.21 |
75.79 |
| 1 |
1024 |
64 |
40.53 |
35.36 |
20.22 |
133.19 |
94.79 |
64.41 |
| 2 |
1024 |
128 |
70.06 |
66.06 |
52.06 |
109.29 |
78.60 |
50.40 |
| 3 |
2048 |
32 |
80.01 |
67.87 |
52.05 |
353.28 |
247.54 |
139.73 |
| 4 |
2048 |
64 |
40.00 |
32.60 |
15.51 |
316.82 |
217.58 |
135.17 |
| 5 |
2048 |
128 |
67.20 |
59.70 |
30.67 |
171.65 |
111.93 |
70.58 |
| 6 |
4096 |
32 |
243.47 |
215.07 |
158.23 |
484.04 |
338.55 |
171.82 |
| 7 |
4096 |
64 |
67.19 |
51.37 |
27.59 |
573.66 |
398.36 |
222.79 |
| 8 |
4096 |
128 |
44.85 |
32.98 |
10.72 |
464.63 |
312.50 |
202.28 |
Vypnuti aktivace zapricilo, ze mame mnohem vice spolecnych feature. Stale plati to, ze cim je skupina diverznejsi, tim je mene spolecnych rysu. To plati bez vyjimky na vsechny sae a oba datasety. Nicmene, jiz nevidime zadny trend v zavislosti na dimenze a topk. Nelze odhadnout, kolik bude mit dany sae spolecnych rysu.
Jako velmi zajimave take beru fakt, ze pro dimenzi 2048 a topk 64, ktery vidite nahore mame pro sim skupiny vice spolednych rysu nez je prumer pres uzivatele. Znamena to, ze dani uzivatele museji mit nadprumerny pocet spolecnych rysu.
Nyni se podivame, co to provede s doporucovanim pro skupiny. Nejprve se podivame na common features.
Comparing the base variant with the variant where we turned off the activation function.
compare - base variant with activation function
main - variant without activation function
|
Dataset |
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| 0 |
LastFM1k |
1024 |
32 |
14.53 |
0.52 |
0.59 |
-6.43 |
0.66 |
0.62 |
11.70 |
0.71 |
0.79 |
33.48 |
0.47 |
0.63 |
| 1 |
LastFM1k |
1024 |
64 |
22.36 |
0.48 |
0.58 |
-1.91 |
0.62 |
0.61 |
10.61 |
0.73 |
0.80 |
24.57 |
0.50 |
0.63 |
| 2 |
LastFM1k |
1024 |
128 |
-7.48 |
0.65 |
0.60 |
1.57 |
0.59 |
0.60 |
6.07 |
0.75 |
0.80 |
8.17 |
0.58 |
0.63 |
| 3 |
LastFM1k |
2048 |
32 |
23.40 |
0.48 |
0.59 |
20.99 |
0.53 |
0.64 |
11.70 |
0.71 |
0.79 |
24.22 |
0.50 |
0.62 |
| 4 |
LastFM1k |
2048 |
64 |
19.67 |
0.50 |
0.60 |
-1.38 |
0.62 |
0.62 |
9.69 |
0.74 |
0.81 |
22.87 |
0.52 |
0.64 |
| 5 |
LastFM1k |
2048 |
128 |
-1.61 |
0.62 |
0.61 |
1.30 |
0.60 |
0.61 |
5.12 |
0.77 |
0.81 |
5.26 |
0.58 |
0.61 |
| 6 |
LastFM1k |
4096 |
32 |
23.19 |
0.47 |
0.57 |
12.42 |
0.58 |
0.66 |
10.13 |
0.71 |
0.78 |
38.80 |
0.45 |
0.63 |
| 7 |
LastFM1k |
4096 |
64 |
-15.35 |
0.62 |
0.52 |
2.95 |
0.61 |
0.63 |
12.08 |
0.72 |
0.81 |
24.80 |
0.50 |
0.62 |
| 8 |
LastFM1k |
4096 |
128 |
-9.10 |
0.65 |
0.59 |
-1.13 |
0.62 |
0.62 |
8.26 |
0.75 |
0.81 |
15.73 |
0.55 |
0.63 |
| 9 |
MovieLens |
1024 |
32 |
14.57 |
0.51 |
0.58 |
7.85 |
0.48 |
0.52 |
12.35 |
0.57 |
0.64 |
26.55 |
0.41 |
0.52 |
| 10 |
MovieLens |
1024 |
64 |
139.68 |
0.22 |
0.54 |
9.41 |
0.46 |
0.50 |
6.08 |
0.62 |
0.65 |
10.00 |
0.48 |
0.53 |
| 11 |
MovieLens |
1024 |
128 |
45.14 |
0.45 |
0.65 |
7.49 |
0.46 |
0.49 |
5.39 |
0.64 |
0.67 |
6.40 |
0.48 |
0.51 |
| 12 |
MovieLens |
2048 |
32 |
21.89 |
0.56 |
0.68 |
4.96 |
0.46 |
0.49 |
15.75 |
0.57 |
0.66 |
27.54 |
0.42 |
0.54 |
| 13 |
MovieLens |
2048 |
64 |
-7.81 |
0.49 |
0.45 |
20.84 |
0.40 |
0.48 |
13.16 |
0.57 |
0.65 |
20.48 |
0.44 |
0.53 |
| 14 |
MovieLens |
2048 |
128 |
32.44 |
0.38 |
0.51 |
6.56 |
0.45 |
0.48 |
6.69 |
0.63 |
0.67 |
8.15 |
0.49 |
0.53 |
| 15 |
MovieLens |
4096 |
32 |
-5.12 |
0.70 |
0.66 |
4.56 |
0.46 |
0.48 |
18.00 |
0.56 |
0.66 |
42.98 |
0.38 |
0.55 |
| 16 |
MovieLens |
4096 |
64 |
-6.03 |
0.63 |
0.59 |
-3.68 |
0.53 |
0.51 |
9.65 |
0.60 |
0.66 |
24.68 |
0.43 |
0.53 |
| 17 |
MovieLens |
4096 |
128 |
-1.80 |
0.57 |
0.56 |
6.78 |
0.46 |
0.49 |
9.37 |
0.59 |
0.65 |
9.54 |
0.47 |
0.51 |
Mean, std, min, max for above table¶
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
2389.333333 |
74.666667 |
7.734444 |
0.554444 |
0.583333 |
3.153333 |
0.603333 |
0.623333 |
9.484444 |
0.732222 |
0.800000 |
21.988889 |
0.516667 |
0.626667 |
| MovieLens |
2389.333333 |
74.666667 |
25.884444 |
0.501111 |
0.580000 |
7.196667 |
0.462222 |
0.493333 |
10.715556 |
0.594444 |
0.656667 |
19.591111 |
0.444444 |
0.527778 |
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
1354.624671 |
42.332021 |
15.897782 |
0.078440 |
0.026458 |
8.414100 |
0.035707 |
0.018028 |
2.512126 |
0.021667 |
0.01118 |
10.868354 |
0.045552 |
0.008660 |
| MovieLens |
1354.624671 |
42.332021 |
46.621754 |
0.141814 |
0.075166 |
6.348108 |
0.033458 |
0.014142 |
4.416679 |
0.029627 |
0.01000 |
12.161706 |
0.037786 |
0.013017 |
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
4096 |
128 |
23.40 |
0.65 |
0.61 |
20.99 |
0.66 |
0.66 |
12.08 |
0.77 |
0.81 |
38.80 |
0.58 |
0.64 |
| MovieLens |
4096 |
128 |
139.68 |
0.70 |
0.68 |
20.84 |
0.53 |
0.52 |
18.00 |
0.64 |
0.67 |
42.98 |
0.49 |
0.55 |
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
1024 |
32 |
-15.35 |
0.47 |
0.52 |
-6.43 |
0.53 |
0.60 |
5.12 |
0.71 |
0.78 |
5.26 |
0.45 |
0.61 |
| MovieLens |
1024 |
32 |
-7.81 |
0.22 |
0.45 |
-3.68 |
0.40 |
0.48 |
5.39 |
0.56 |
0.64 |
6.40 |
0.38 |
0.51 |
Comparing the base variant with the variant where we turned off the activation function.
compare - base variant with activation function
main - variant without activation function
|
Dataset |
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| 0 |
LastFM1k |
1024 |
32 |
12.66 |
0.52 |
0.58 |
5.43 |
0.60 |
0.63 |
-0.43 |
0.81 |
0.81 |
-3.24 |
0.64 |
0.61 |
| 1 |
LastFM1k |
1024 |
64 |
6.95 |
0.56 |
0.60 |
-3.11 |
0.61 |
0.59 |
-0.51 |
0.81 |
0.81 |
-3.39 |
0.65 |
0.63 |
| 2 |
LastFM1k |
1024 |
128 |
0.26 |
0.57 |
0.57 |
-1.47 |
0.61 |
0.60 |
-0.63 |
0.81 |
0.81 |
-2.06 |
0.65 |
0.64 |
| 3 |
LastFM1k |
2048 |
32 |
1.34 |
0.58 |
0.59 |
7.48 |
0.62 |
0.66 |
-3.21 |
0.82 |
0.79 |
-6.11 |
0.64 |
0.60 |
| 4 |
LastFM1k |
2048 |
64 |
5.08 |
0.58 |
0.60 |
3.28 |
0.61 |
0.63 |
-2.04 |
0.82 |
0.81 |
-4.02 |
0.67 |
0.64 |
| 5 |
LastFM1k |
2048 |
128 |
-4.53 |
0.65 |
0.62 |
-2.12 |
0.60 |
0.59 |
-1.03 |
0.82 |
0.81 |
-2.42 |
0.67 |
0.65 |
| 6 |
LastFM1k |
4096 |
32 |
1.34 |
0.59 |
0.59 |
9.08 |
0.61 |
0.67 |
-4.33 |
0.81 |
0.78 |
-8.86 |
0.65 |
0.59 |
| 7 |
LastFM1k |
4096 |
64 |
1.43 |
0.58 |
0.59 |
7.91 |
0.61 |
0.66 |
-2.61 |
0.82 |
0.80 |
-5.34 |
0.65 |
0.62 |
| 8 |
LastFM1k |
4096 |
128 |
-2.56 |
0.62 |
0.60 |
0.45 |
0.61 |
0.62 |
0.07 |
0.82 |
0.82 |
4.59 |
0.64 |
0.67 |
| 9 |
MovieLens |
1024 |
32 |
10.42 |
0.59 |
0.65 |
-7.89 |
0.53 |
0.49 |
-1.00 |
0.69 |
0.68 |
-2.19 |
0.58 |
0.57 |
| 10 |
MovieLens |
1024 |
64 |
-8.23 |
0.74 |
0.68 |
-4.28 |
0.54 |
0.51 |
-0.95 |
0.70 |
0.69 |
-0.16 |
0.58 |
0.58 |
| 11 |
MovieLens |
1024 |
128 |
2.84 |
0.66 |
0.68 |
-0.08 |
0.53 |
0.53 |
-0.07 |
0.69 |
0.69 |
-0.06 |
0.58 |
0.58 |
| 12 |
MovieLens |
2048 |
32 |
-4.18 |
0.66 |
0.63 |
-32.40 |
0.54 |
0.37 |
-8.41 |
0.69 |
0.63 |
-15.03 |
0.58 |
0.49 |
| 13 |
MovieLens |
2048 |
64 |
6.36 |
0.67 |
0.71 |
-10.21 |
0.53 |
0.48 |
-2.14 |
0.69 |
0.68 |
-3.79 |
0.58 |
0.56 |
| 14 |
MovieLens |
2048 |
128 |
-2.75 |
0.70 |
0.68 |
-3.31 |
0.53 |
0.51 |
-0.20 |
0.69 |
0.69 |
-0.08 |
0.57 |
0.57 |
| 15 |
MovieLens |
4096 |
32 |
-5.81 |
0.57 |
0.54 |
-24.57 |
0.54 |
0.41 |
-7.73 |
0.68 |
0.63 |
-15.09 |
0.56 |
0.48 |
| 16 |
MovieLens |
4096 |
64 |
-12.56 |
0.69 |
0.61 |
-26.78 |
0.54 |
0.40 |
-5.08 |
0.69 |
0.65 |
-14.23 |
0.59 |
0.50 |
| 17 |
MovieLens |
4096 |
128 |
-6.22 |
0.68 |
0.64 |
-9.22 |
0.53 |
0.48 |
-2.70 |
0.69 |
0.67 |
-4.97 |
0.58 |
0.55 |
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
2389.333333 |
74.666667 |
2.441111 |
0.583333 |
0.593333 |
2.992222 |
0.608889 |
0.627778 |
-1.635556 |
0.815556 |
0.804444 |
-3.427778 |
0.651111 |
0.627778 |
| MovieLens |
2389.333333 |
74.666667 |
-2.236667 |
0.662222 |
0.646667 |
-13.193333 |
0.534444 |
0.464444 |
-3.142222 |
0.690000 |
0.667778 |
-6.177778 |
0.577778 |
0.542222 |
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
1354.624671 |
42.332021 |
5.166376 |
0.036401 |
0.014142 |
4.705815 |
0.006009 |
0.030732 |
1.494114 |
0.00527 |
0.012360 |
3.672849 |
0.011667 |
0.025386 |
| MovieLens |
1354.624671 |
42.332021 |
7.374224 |
0.052863 |
0.050498 |
11.644862 |
0.005270 |
0.056593 |
3.186737 |
0.00500 |
0.024889 |
6.675647 |
0.008333 |
0.040552 |
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
4096 |
128 |
12.66 |
0.65 |
0.62 |
9.08 |
0.62 |
0.67 |
0.07 |
0.82 |
0.82 |
4.59 |
0.67 |
0.67 |
| MovieLens |
4096 |
128 |
10.42 |
0.74 |
0.71 |
-0.08 |
0.54 |
0.53 |
-0.07 |
0.70 |
0.69 |
-0.06 |
0.59 |
0.58 |
|
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| Dataset |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| LastFM1k |
1024 |
32 |
-4.53 |
0.52 |
0.57 |
-3.11 |
0.60 |
0.59 |
-4.33 |
0.81 |
0.78 |
-8.86 |
0.64 |
0.59 |
| MovieLens |
1024 |
32 |
-12.56 |
0.57 |
0.54 |
-32.40 |
0.53 |
0.37 |
-8.41 |
0.68 |
0.63 |
-15.09 |
0.56 |
0.48 |
|
Dataset |
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| 0 |
LastFM1k |
1024 |
32 |
39.27 |
0.40 |
0.56 |
0.91 |
0.66 |
0.67 |
-0.09 |
0.75 |
0.75 |
0.91 |
0.56 |
0.56 |
| 1 |
LastFM1k |
1024 |
64 |
19.40 |
0.43 |
0.51 |
-1.66 |
0.66 |
0.65 |
0.43 |
0.75 |
0.75 |
4.50 |
0.55 |
0.57 |
| 2 |
LastFM1k |
1024 |
128 |
44.43 |
0.36 |
0.53 |
-2.32 |
0.66 |
0.64 |
-0.58 |
0.75 |
0.75 |
2.60 |
0.56 |
0.57 |
| 3 |
LastFM1k |
2048 |
32 |
8.57 |
0.50 |
0.54 |
6.14 |
0.66 |
0.70 |
-2.43 |
0.76 |
0.75 |
-8.47 |
0.59 |
0.54 |
| 4 |
LastFM1k |
2048 |
64 |
34.90 |
0.42 |
0.57 |
1.83 |
0.66 |
0.67 |
-1.41 |
0.76 |
0.75 |
-0.80 |
0.58 |
0.58 |
| 5 |
LastFM1k |
2048 |
128 |
2.22 |
0.50 |
0.51 |
-1.67 |
0.66 |
0.65 |
-2.62 |
0.77 |
0.75 |
2.38 |
0.58 |
0.60 |
| 6 |
LastFM1k |
4096 |
32 |
12.29 |
0.36 |
0.41 |
6.08 |
0.67 |
0.71 |
-3.30 |
0.76 |
0.74 |
-5.57 |
0.57 |
0.53 |
| 7 |
LastFM1k |
4096 |
64 |
11.49 |
0.36 |
0.40 |
6.01 |
0.66 |
0.70 |
-1.31 |
0.75 |
0.74 |
-2.93 |
0.58 |
0.56 |
| 8 |
LastFM1k |
4096 |
128 |
38.52 |
0.35 |
0.49 |
-0.27 |
0.66 |
0.66 |
-0.05 |
0.76 |
0.75 |
-0.28 |
0.56 |
0.56 |
| 9 |
MovieLens |
1024 |
32 |
14.30 |
0.59 |
0.67 |
-9.61 |
0.57 |
0.52 |
-3.51 |
0.69 |
0.66 |
-6.86 |
0.56 |
0.52 |
| 10 |
MovieLens |
1024 |
64 |
8.38 |
0.61 |
0.66 |
-3.01 |
0.57 |
0.55 |
-2.21 |
0.69 |
0.68 |
-3.96 |
0.55 |
0.53 |
| 11 |
MovieLens |
1024 |
128 |
13.58 |
0.54 |
0.62 |
-0.75 |
0.57 |
0.57 |
-0.19 |
0.69 |
0.69 |
-0.64 |
0.54 |
0.54 |
| 12 |
MovieLens |
2048 |
32 |
2.79 |
0.63 |
0.64 |
-30.69 |
0.57 |
0.40 |
-15.44 |
0.69 |
0.58 |
-23.41 |
0.55 |
0.42 |
| 13 |
MovieLens |
2048 |
64 |
21.38 |
0.55 |
0.67 |
-11.98 |
0.58 |
0.51 |
-4.33 |
0.69 |
0.66 |
-4.51 |
0.55 |
0.52 |
| 14 |
MovieLens |
2048 |
128 |
7.21 |
0.62 |
0.66 |
-5.10 |
0.57 |
0.54 |
-2.79 |
0.69 |
0.67 |
-4.35 |
0.56 |
0.53 |
| 15 |
MovieLens |
4096 |
32 |
32.96 |
0.57 |
0.75 |
-25.10 |
0.58 |
0.43 |
-14.75 |
0.69 |
0.59 |
-19.18 |
0.54 |
0.44 |
| 16 |
MovieLens |
4096 |
64 |
31.83 |
0.54 |
0.71 |
-25.12 |
0.57 |
0.43 |
-11.50 |
0.69 |
0.61 |
-15.95 |
0.53 |
0.45 |
| 17 |
MovieLens |
4096 |
128 |
12.13 |
0.62 |
0.69 |
-7.83 |
0.56 |
0.52 |
-4.75 |
0.69 |
0.65 |
-4.58 |
0.54 |
0.51 |
|
Dataset |
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| 0 |
LastFM1k |
1024 |
32 |
6.63 |
0.50 |
0.54 |
3.06 |
0.63 |
0.65 |
0.34 |
0.67 |
0.67 |
-3.59 |
0.46 |
0.45 |
| 1 |
LastFM1k |
1024 |
64 |
9.33 |
0.46 |
0.51 |
-5.03 |
0.61 |
0.58 |
-0.73 |
0.66 |
0.66 |
-4.82 |
0.44 |
0.42 |
| 2 |
LastFM1k |
1024 |
128 |
-11.23 |
0.41 |
0.37 |
-5.79 |
0.60 |
0.57 |
-1.57 |
0.66 |
0.65 |
2.69 |
0.42 |
0.43 |
| 3 |
LastFM1k |
2048 |
32 |
36.78 |
0.43 |
0.59 |
12.52 |
0.62 |
0.69 |
3.14 |
0.68 |
0.70 |
-3.27 |
0.48 |
0.47 |
| 4 |
LastFM1k |
2048 |
64 |
0.27 |
0.45 |
0.45 |
5.77 |
0.61 |
0.65 |
2.46 |
0.67 |
0.69 |
2.01 |
0.46 |
0.47 |
| 5 |
LastFM1k |
2048 |
128 |
-30.56 |
0.47 |
0.32 |
-6.69 |
0.61 |
0.57 |
-2.09 |
0.66 |
0.64 |
6.28 |
0.44 |
0.47 |
| 6 |
LastFM1k |
4096 |
32 |
19.15 |
0.52 |
0.61 |
14.50 |
0.62 |
0.71 |
2.02 |
0.68 |
0.69 |
0.91 |
0.47 |
0.47 |
| 7 |
LastFM1k |
4096 |
64 |
25.57 |
0.47 |
0.58 |
12.32 |
0.61 |
0.69 |
2.14 |
0.68 |
0.69 |
3.10 |
0.46 |
0.48 |
| 8 |
LastFM1k |
4096 |
128 |
11.44 |
0.45 |
0.50 |
1.57 |
0.61 |
0.62 |
0.63 |
0.66 |
0.67 |
8.08 |
0.45 |
0.48 |
| 9 |
MovieLens |
1024 |
32 |
-100.00 |
0.15 |
0.00 |
-60.34 |
0.43 |
0.17 |
-32.19 |
0.62 |
0.42 |
-59.89 |
0.45 |
0.18 |
| 10 |
MovieLens |
1024 |
64 |
-41.95 |
0.13 |
0.08 |
-31.46 |
0.42 |
0.29 |
-17.37 |
0.62 |
0.52 |
-27.79 |
0.46 |
0.34 |
| 11 |
MovieLens |
1024 |
128 |
0.00 |
0.12 |
0.12 |
-14.24 |
0.42 |
0.36 |
-7.62 |
0.63 |
0.58 |
-10.06 |
0.44 |
0.39 |
| 12 |
MovieLens |
2048 |
32 |
-100.00 |
0.15 |
0.00 |
-81.01 |
0.44 |
0.08 |
-48.99 |
0.63 |
0.32 |
-86.48 |
0.43 |
0.06 |
| 13 |
MovieLens |
2048 |
64 |
-100.00 |
0.12 |
0.00 |
-70.60 |
0.43 |
0.13 |
-41.27 |
0.62 |
0.37 |
-67.95 |
0.44 |
0.14 |
| 14 |
MovieLens |
2048 |
128 |
-100.00 |
0.13 |
0.00 |
-50.84 |
0.40 |
0.20 |
-25.34 |
0.61 |
0.45 |
-43.12 |
0.42 |
0.24 |
| 15 |
MovieLens |
4096 |
32 |
-100.00 |
0.11 |
0.00 |
-72.99 |
0.45 |
0.12 |
-42.68 |
0.64 |
0.37 |
-76.18 |
0.47 |
0.11 |
| 16 |
MovieLens |
4096 |
64 |
-100.00 |
0.10 |
0.00 |
-74.13 |
0.45 |
0.12 |
-42.10 |
0.63 |
0.37 |
-69.90 |
0.46 |
0.14 |
| 17 |
MovieLens |
4096 |
128 |
-100.00 |
0.13 |
0.00 |
-55.44 |
0.40 |
0.18 |
-27.74 |
0.62 |
0.45 |
-48.98 |
0.42 |
0.21 |
Kontrola, ze common features taky nefailuji¶
|
Dataset |
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| 0 |
LastFM1k |
1024 |
32 |
125.71 |
0.24 |
0.55 |
22.98 |
0.54 |
0.66 |
33.77 |
0.55 |
0.73 |
94.80 |
0.27 |
0.53 |
| 1 |
LastFM1k |
1024 |
64 |
158.54 |
0.17 |
0.45 |
8.72 |
0.60 |
0.65 |
22.96 |
0.60 |
0.74 |
36.23 |
0.36 |
0.49 |
| 2 |
LastFM1k |
1024 |
128 |
63.17 |
0.25 |
0.41 |
8.03 |
0.60 |
0.65 |
13.83 |
0.64 |
0.73 |
21.31 |
0.42 |
0.51 |
| 3 |
LastFM1k |
2048 |
32 |
404.94 |
0.09 |
0.46 |
368.32 |
0.15 |
0.68 |
252.54 |
0.21 |
0.74 |
652.80 |
0.07 |
0.53 |
| 4 |
LastFM1k |
2048 |
64 |
118.59 |
0.20 |
0.43 |
23.35 |
0.54 |
0.66 |
45.31 |
0.52 |
0.75 |
90.01 |
0.31 |
0.59 |
| 5 |
LastFM1k |
2048 |
128 |
74.94 |
0.27 |
0.47 |
12.66 |
0.59 |
0.66 |
17.31 |
0.62 |
0.73 |
33.95 |
0.40 |
0.53 |
| 6 |
LastFM1k |
4096 |
32 |
inf |
0.00 |
0.42 |
425.22 |
0.13 |
0.68 |
395.69 |
0.15 |
0.74 |
1363.94 |
0.04 |
0.55 |
| 7 |
LastFM1k |
4096 |
64 |
-3.83 |
0.40 |
0.38 |
39.50 |
0.48 |
0.68 |
70.60 |
0.44 |
0.75 |
161.86 |
0.21 |
0.55 |
| 8 |
LastFM1k |
4096 |
128 |
1.27 |
0.38 |
0.38 |
12.05 |
0.58 |
0.65 |
29.38 |
0.58 |
0.75 |
56.22 |
0.34 |
0.54 |
| 9 |
MovieLens |
1024 |
32 |
223.30 |
0.17 |
0.57 |
-0.07 |
0.49 |
0.49 |
15.07 |
0.51 |
0.59 |
19.56 |
0.37 |
0.45 |
| 10 |
MovieLens |
1024 |
64 |
5.82 |
0.67 |
0.71 |
9.08 |
0.44 |
0.48 |
12.73 |
0.54 |
0.61 |
21.78 |
0.38 |
0.47 |
| 11 |
MovieLens |
1024 |
128 |
8.88 |
0.66 |
0.72 |
12.22 |
0.46 |
0.51 |
8.15 |
0.59 |
0.64 |
14.30 |
0.42 |
0.48 |
| 12 |
MovieLens |
2048 |
32 |
69.23 |
0.30 |
0.51 |
17.67 |
0.44 |
0.51 |
28.87 |
0.47 |
0.61 |
70.34 |
0.28 |
0.48 |
| 13 |
MovieLens |
2048 |
64 |
103.50 |
0.27 |
0.54 |
15.63 |
0.41 |
0.48 |
19.31 |
0.51 |
0.61 |
29.63 |
0.34 |
0.45 |
| 14 |
MovieLens |
2048 |
128 |
38.36 |
0.50 |
0.69 |
12.33 |
0.45 |
0.50 |
6.07 |
0.59 |
0.63 |
13.96 |
0.42 |
0.48 |
| 15 |
MovieLens |
4096 |
32 |
304.49 |
0.15 |
0.62 |
25.14 |
0.42 |
0.53 |
36.89 |
0.47 |
0.64 |
86.28 |
0.27 |
0.51 |
| 16 |
MovieLens |
4096 |
64 |
9.34 |
0.53 |
0.58 |
12.83 |
0.46 |
0.52 |
16.08 |
0.55 |
0.63 |
22.84 |
0.40 |
0.50 |
| 17 |
MovieLens |
4096 |
128 |
1.89 |
0.50 |
0.51 |
7.41 |
0.48 |
0.52 |
8.46 |
0.58 |
0.63 |
19.38 |
0.41 |
0.49 |
|
Dataset |
Dimensions |
TopK |
G/mean |
Pop |
U/mean |
U/min |
|
|
|
|
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
% change |
compare |
main |
| 0 |
LastFM1k |
1024 |
32 |
1217.33 |
0.03 |
0.44 |
439.85 |
0.11 |
0.60 |
451.85 |
0.12 |
0.65 |
1012.41 |
0.04 |
0.40 |
| 1 |
LastFM1k |
1024 |
64 |
516.68 |
0.06 |
0.38 |
389.98 |
0.11 |
0.54 |
309.89 |
0.15 |
0.61 |
768.76 |
0.04 |
0.32 |
| 2 |
LastFM1k |
1024 |
128 |
105.86 |
0.14 |
0.29 |
140.90 |
0.23 |
0.55 |
120.85 |
0.27 |
0.60 |
265.66 |
0.09 |
0.34 |
| 3 |
LastFM1k |
2048 |
32 |
1381.92 |
0.03 |
0.50 |
490.33 |
0.11 |
0.66 |
508.74 |
0.11 |
0.68 |
1100.02 |
0.04 |
0.43 |
| 4 |
LastFM1k |
2048 |
64 |
927.59 |
0.03 |
0.34 |
448.22 |
0.11 |
0.61 |
440.90 |
0.12 |
0.65 |
1032.53 |
0.04 |
0.41 |
| 5 |
LastFM1k |
2048 |
128 |
34.42 |
0.22 |
0.30 |
274.93 |
0.16 |
0.58 |
195.65 |
0.21 |
0.63 |
597.56 |
0.05 |
0.34 |
| 6 |
LastFM1k |
4096 |
32 |
1571.04 |
0.03 |
0.56 |
502.73 |
0.11 |
0.67 |
546.24 |
0.11 |
0.68 |
1171.40 |
0.04 |
0.45 |
| 7 |
LastFM1k |
4096 |
64 |
1473.74 |
0.03 |
0.53 |
474.06 |
0.11 |
0.64 |
486.93 |
0.11 |
0.67 |
1091.36 |
0.04 |
0.43 |
| 8 |
LastFM1k |
4096 |
128 |
1276.53 |
0.03 |
0.46 |
401.81 |
0.12 |
0.60 |
316.04 |
0.16 |
0.65 |
916.63 |
0.04 |
0.39 |
| 9 |
MovieLens |
1024 |
32 |
NaN |
0.00 |
0.00 |
-10.31 |
0.21 |
0.18 |
49.38 |
0.23 |
0.35 |
80.62 |
0.06 |
0.12 |
| 10 |
MovieLens |
1024 |
64 |
inf |
0.00 |
0.12 |
31.44 |
0.21 |
0.28 |
56.94 |
0.30 |
0.48 |
101.07 |
0.11 |
0.22 |
| 11 |
MovieLens |
1024 |
128 |
inf |
0.00 |
0.38 |
9.08 |
0.23 |
0.26 |
13.99 |
0.40 |
0.46 |
75.67 |
0.14 |
0.25 |
| 12 |
MovieLens |
2048 |
32 |
NaN |
0.00 |
0.00 |
1.56 |
0.21 |
0.21 |
87.48 |
0.23 |
0.43 |
302.45 |
0.05 |
0.21 |
| 13 |
MovieLens |
2048 |
64 |
17.54 |
0.17 |
0.20 |
5.95 |
0.21 |
0.22 |
50.37 |
0.27 |
0.40 |
66.89 |
0.07 |
0.12 |
| 14 |
MovieLens |
2048 |
128 |
-24.13 |
0.11 |
0.08 |
21.50 |
0.26 |
0.31 |
19.39 |
0.40 |
0.48 |
29.13 |
0.20 |
0.26 |
| 15 |
MovieLens |
4096 |
32 |
NaN |
0.00 |
0.00 |
42.53 |
0.21 |
0.29 |
123.91 |
0.23 |
0.51 |
617.96 |
0.04 |
0.31 |
| 16 |
MovieLens |
4096 |
64 |
NaN |
0.00 |
0.00 |
18.82 |
0.21 |
0.25 |
74.45 |
0.24 |
0.42 |
224.43 |
0.07 |
0.23 |
| 17 |
MovieLens |
4096 |
128 |
inf |
0.00 |
0.38 |
43.14 |
0.25 |
0.35 |
33.86 |
0.36 |
0.48 |
88.58 |
0.13 |
0.24 |